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Finding the Fourth Proportional to 457,194.68, 685,459.71 and 191,031.38

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Solution

The fourth proportional to 457,194.68, 685,459.71 and 191,031.38 is: 286,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,194.68 : 685,459.71 = 191,031.38 : x
  2. Step 2: Convert to fraction form
    457,194.68/685,459.71 = 191,031.38/x
  3. Step 3: Cross multiply
    457,194.68x = 685,459.71 × 191,031.38
  4. Step 4: Simplify right side
    457,194.68x = 130,944,310,908.40
  5. Step 5: Solve for x
    x = 130,944,310,908.40/457,194.68
  6. Step 6: Final answer
    x = 286,408.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.